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3 years ago

9

The expression -310 + 15m represents a submarine that began at a depth of 310 feet below sea level and ascended at a rate of 15

feet per minute. What was the depth of the submarine after 8 minutes?

1 answer:

Lesechka [4]3 years ago

4 0

Answer:

190 feet below sea level

Step-by-step explanation:

d = -310 + 15m

d = -310 + 15(8)

d = -310 + 120

d = -190

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37th term; a1 = 2.3; d = -2.3

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<u>Answer:</u>

37th term of given arithmetic sequence $a_1$ = 2.3; d = -2.3 is -80.5.

<u>Solution:</u>

Given that

Need to determine 37th term, when $a_1$ = 2.3, d = -2.3

Means first term of arithmetic sequence = $a_1$ = 2.3 and common difference d = -2.3

<u><em>Formula for nth term of arithmetic sequence is </em></u>

$\mathrm{a}_{\mathrm{n}}=\mathrm{a}_{1}+(\mathrm{n}-1) \mathrm{d}$ --- equation 1

$\text { In our case } a_{1}=2.3, d=-2.3$

We need to determine 37th term so n = 37.

On substituting given values in equation (1) we get

$\mathrm{a}_{37}=\mathrm{a}_{1}+(37-1) \mathrm{d}$

$\begin{array}{l}{\Rightarrow a_{37}=2.3+(37-1)(-2.3)} \\\\ {\Rightarrow a_{37}=2.3(1-36)=2.3 \times 35=-80.5}\end{array}$

Hence 37th term of given arithmetic sequence is -80.5

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